#but that doesn't explain why gandalf has so much more of an elemental bonus from his than we see with the other two

[incomingalbatross]

Weirdly enough, Nenya/the Ring of Water/Adamant is Galadriel's ring (despite her ring being so extremely white and starlike), which I guess works with the Mirror? Kind of?

But yeah, Vilya/the Ring of Air doesn't correspond with the water horses or with anything air- or sky-related for Elrond, as far as I can tell. Gandalf seems to be exception.

“There are many magic rings in this world, Bilbo Baggins, and none of them should be used lightly.”

-Gandalf the Grey, wielder of Narya the Ring of Fire and also coincidentally maker of the best magic fireworks in the world